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mpt ALL REGIONAL MARITIME UNIVERSITY MARINE ELECTRICAL & ELECTRONIC ENGINEERING DEPARTMENT BEW 23 MID-SEMESTER EXAMINATION BEE 312-CLASSICAL CONTROL SYSTEMS I 1. Determine the design condition that would ensure that the characteristic equation of this electrical system has real roots. R ww v (s) |(s) V. (s)

ster.pdf Open with Google Docs 2. Construct a block diagram model for the liquid level system below 5+2==== Tank 2 Tank 1 BLK H₁hy R₁ H₂+h₂ R₂ Q+q1 C₁ C₂ h₁-h₂ dh₂ 91= 92 h₂ R₂ C₁ =9-91 C₂ dh dt = 91 92 R₁ dt 3. Determine the transfer function of the following block diagrams H₂0) Rus G,() G₂(s) G₂(s) H₂0) H₂(3)+ 4. G represents a causal, linear, time-invariant, continuous-time system. X G Y Page 1/2 11 + G.(3) Yus) 0+92

mester Exams JOOTI4MjE0NjY1/a/NTMxMjI1NzAyMDYx/details id Semester.pdf Open with Google Docs 4. G represents a causal, linear, time-invariant, continuous-time system. X→ G Y *** EMA Attempt ALL H(jw)| log scale] 2/9- 0.1 2/27- 2/90 0.01 rmt temir 10 [log scale) 0.1 100 The magnitude of the frequency response HY/X is specified by the straight-line approximation shown below. The magnitude for asymptotically low frequencies is Find a solution for G(s) 27 - Page 2 / 2 Q + O Al 199 of 0.074

approximation shown below the magnitude for asyid coffe try low frequeticies is 0.074 27 Open with Google Docs Find a solution for G(s). 5. Consider the following characteristic equation. Determine the range of K for stability. S4 + Ks³ + s² + s + 1 = 0 6. Apply Mason's Rule to calculate the transfer function of the system represented by following Signal Flow Graph G₂0) G₂(x) G,(s) G,G) G₂0) 0,0) RUDO -11,00 lid Semester.pdf -H₂0) -H₂) G₂(1) -11,G) G₂(1)

7. The figure (a) below shows a mechanical vibratory system. When 2 lb of force (step input) is applied to the system, the mass oscillates, as shown in figure (b). Determine m, b, and k of the system from this response curve. x(1) A P(2-lb force) 0.0095 ft 0.1 3 4 www m (a) EMA O Bl ft Page 2 / 2 (b) + 199